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Acoustic resonance in annular cascades in the presence of background mean flow

Published online by Cambridge University Press:  03 March 2025

Zihan Shen Open the ORCID record for Zihan Shen [Opens in a new window] ,
Xiaoyu Wang Open the ORCID record for Xiaoyu Wang [Opens in a new window] ,
Jia Li ,
Guangyu Zhang Open the ORCID record for Guangyu Zhang [Opens in a new window]  and
Xiaofeng Sun
Zihan Shen
Affiliation:
School of Energy and Power Engineering, Beihang University, Beijing 100191, PR China
Xiaoyu Wang*
Affiliation:
Research Institute of Aero-Engine, Beihang University, Beijing 100191, PR China
Jia Li
Affiliation:
School of Energy and Power Engineering, Beihang University, Beijing 100191, PR China
Guangyu Zhang
Affiliation:
Research Institute of Aero-Engine, Beihang University, Beijing 100191, PR China
Xiaofeng Sun
Affiliation:
School of Energy and Power Engineering, Beihang University, Beijing 100191, PR China
*
Corresponding author: Xiaoyu Wang, bhwxy@buaa.edu.cn
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Abstract

Acoustic resonances in cascade structures may cause structural damage and instability problems in aero-engines and other industrial plants; thus, developing corresponding prediction methods is important. However, works published in the open literature mostly focus on the special case of the stationary Parker modes and provide little knowledge into the rotating resonances in annular cascades, especially in the presence of non-zero background mean flows. This paper develops a three-dimensional semi-analytic model to study the acoustic resonances in an annular cascade in the presence of axial mean flow. The model applies an unsteady cascade response based on the three-dimensional lifting surface method to construct a matrix equation. Characteristic frequencies are solved in the complex domain by numerically searching for singular points. Both the oscillation frequency and the growth rate of the three-dimensional resonance modes are theoretically calculated for the first time under non-zero mean flow conditions. The results reveal an organised distribution with varying inter-blade phase angle and show obvious change with the background flow speed. It is found that the unsteady vortex shedding from the trailing edges of the cascade is a key factor influencing the dissipation rate of the resonance modes. In addition, the important effects of acoustic scattering by the cascade during resonances are examined, which qualitatively corroborate some previous experimental observations.

JFM classification

Acoustics: Aeroacoustics

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Type
JFM Papers
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Journal of Fluid Mechanics , Volume 1006 , 10 March 2025 , A7
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© The Author(s), 2025. Published by Cambridge University Press

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